This seems backwards. The more apps you install, the more likely it is that it will reuse a runtime or otherwise that you already have installed, and hence the less space it is likely to take up.
The traditional approach forces all packages to make do with one version of a library, whereas the flatpak approach encourages them to ignore what other apps in the ecosystem use. The flatpak approach will definitely cause severe bloat in the amount of space used on the system.